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Title: | Enumeration of strong dichotomy patterns |
Authors: | Agustín -Aquino, O. A. |
Keywords: | strong dichotomy pattern Pólya-Redfield theory cyclic sieving |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
Abstract: | We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of Z2k with respect to the action of Aff(Z2k) and with trivial isotropy group. As a byproduct, a conjectural instance of phenomenon similar to cyclic sieving for special cases of these combinatorial objects is proposed. |
Description: | Agustín –Aquino O. A. Enumeration of strong dichotomy patterns / O. A. Agustín –Aquino // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. – Рp.165-176 |
URI: | http://hdl.handle.net/123456789/4499 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (25). - 2018 |
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